A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems

H. D. Chiang; C. C. Chu

doi:10.1109/ANN.1993.264304

A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems

H. D. Chiang
, C. C. Chu

Cornell University

研究成果: 圖書/報告稿件的類型 › 會議稿件 › 同行評審

摘要

The authors propose a systematic method to find several local minima for general nonlinear optimizatioin problems. They develop some analytical results for a quasi-gradient system and reflected gradient system and apply them to explore the topological aspects of the critical points of the objective function. By properly switching between a quasi-gradient system and a reflected gradient system, the proposed method can obtain a set of local minima.

原文	英語
主出版物標題	Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993
編輯	Y. Tamura, H. Suzuki, H. Mori
發行者	Institute of Electrical and Electronics Engineers Inc.
頁面	467-474
頁數	8
ISBN（電子）	0780312171, 9780780312173
DOIs	https://doi.org/10.1109/ANN.1993.264304
出版狀態	已出版 - 1993
對外發佈	是
事件	2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993 - Yokohama, 日本持續時間: 19 04 1993 → 22 04 1993

出版系列

名字	Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993

Conference

Conference	2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993
國家/地區	日本
城市	Yokohama
期間	19/04/93 → 22/04/93

文獻附註

Publisher Copyright:
© 1993 IEEE.

存取文件

10.1109/ANN.1993.264304

其它文件與鏈接

Link to publication in Scopus

引用此

Chiang, H. D., & Chu, C. C. (1993). A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems. 於 Y. Tamura, H. Suzuki, & H. Mori (編輯), Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993 (頁 467-474). 文章 264304 (Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ANN.1993.264304

Chiang, H. D. ; Chu, C. C. / A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems. Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993. 編輯 / Y. Tamura ; H. Suzuki ; H. Mori. Institute of Electrical and Electronics Engineers Inc., 1993. 頁 467-474 (Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993).

@inproceedings{2cf5cfe69b474532ab483d67dfa5b8f0,

title = "A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems",

abstract = "The authors propose a systematic method to find several local minima for general nonlinear optimizatioin problems. They develop some analytical results for a quasi-gradient system and reflected gradient system and apply them to explore the topological aspects of the critical points of the objective function. By properly switching between a quasi-gradient system and a reflected gradient system, the proposed method can obtain a set of local minima.",

author = "Chiang, \{H. D.\} and Chu, \{C. C.\}",

note = "Publisher Copyright: {\textcopyright} 1993 IEEE.; 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993 ; Conference date: 19-04-1993 Through 22-04-1993",

year = "1993",

doi = "10.1109/ANN.1993.264304",

language = "英语",

series = "Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "467--474",

editor = "Y. Tamura and H. Suzuki and H. Mori",

booktitle = "Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993",

address = "美国",

}

Chiang, HD & Chu, CC 1993, A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems. 於 Y Tamura, H Suzuki & H Mori (編輯), Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993., 264304, Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993, Institute of Electrical and Electronics Engineers Inc., 頁 467-474, 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993, Yokohama, 日本, 19/04/93. https://doi.org/10.1109/ANN.1993.264304

A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems. / Chiang, H. D.; Chu, C. C.
Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993. 編輯 / Y. Tamura; H. Suzuki; H. Mori. Institute of Electrical and Electronics Engineers Inc., 1993. p. 467-474 264304 (Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993).

研究成果: 圖書/報告稿件的類型 › 會議稿件 › 同行評審

TY - GEN

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AU - Chu, C. C.

PY - 1993

Y1 - 1993

N2 - The authors propose a systematic method to find several local minima for general nonlinear optimizatioin problems. They develop some analytical results for a quasi-gradient system and reflected gradient system and apply them to explore the topological aspects of the critical points of the objective function. By properly switching between a quasi-gradient system and a reflected gradient system, the proposed method can obtain a set of local minima.

AB - The authors propose a systematic method to find several local minima for general nonlinear optimizatioin problems. They develop some analytical results for a quasi-gradient system and reflected gradient system and apply them to explore the topological aspects of the critical points of the objective function. By properly switching between a quasi-gradient system and a reflected gradient system, the proposed method can obtain a set of local minima.

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U2 - 10.1109/ANN.1993.264304

DO - 10.1109/ANN.1993.264304

M3 - 会议稿件

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T3 - Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993

SP - 467

EP - 474

BT - Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993

A2 - Tamura, Y.

A2 - Suzuki, H.

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PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993

Y2 - 19 April 1993 through 22 April 1993

ER -

Chiang HD, Chu CC. A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems. 於 Tamura Y, Suzuki H, Mori H, 編輯, Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993. Institute of Electrical and Electronics Engineers Inc. 1993. p. 467-474. 264304. (Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993). doi: 10.1109/ANN.1993.264304

A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems

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出版系列

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